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Finding the Fourth Proportional to 1,104.73, 1,657.17 and 282.99

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Solution

The fourth proportional to 1,104.73, 1,657.17 and 282.99 is: 424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.73 : 1,657.17 = 282.99 : x
  2. Step 2: Convert to fraction form
    1,104.73/1,657.17 = 282.99/x
  3. Step 3: Cross multiply
    1,104.73x = 1,657.17 × 282.99
  4. Step 4: Simplify right side
    1,104.73x = 468,954.25
  5. Step 5: Solve for x
    x = 468,954.25/1,104.73
  6. Step 6: Final answer
    x = 424.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.